1. Find an equation of the line that passes through the point (-1,3) and is parallel to the line passing through the points (-2,-3) and (2,5). Write your answer in slope-intercept form. 2. Solve the following system of equations. [3x +2y = 3 2x-4y -14
1. Find an equation of the line that passes through the point (-1,3) and is parallel to the line passing through the points (-2,-3) and (2,5). Write your answer in slope-intercept form. 2. Solve the following system of equations. [3x +2y = 3 2x-4y -14
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. Find an equation of the line that passes through the point (-1,3) and is parallel to the
line passing through the points (-2,-3) and (2,5). Write your answer in slope-intercept
form.
2. Solve the following system of equations.
(Зх + 2у %3D3
2х - 4у%3D — 14
3. Graph the inequality 4x+3y> 12.
4. Find the equilibrium quantity and price for the following supply and demand
equations: p = 2x +10and p = -3x + 40, where p denotes the unit price in dollars and x
denotes the number of units in thousands.
5. Write the following system of linear equations in the form AX = B. Find A and use
it to solve the system.
x + 2y - 4.
3x - y + 2== 14
(2x-3y+4z = 17
7
6. Solve the following system of equations using the Gauss-Jordan elimination method.
2x+2y+ z =9
X + z = 4
|4y -3z = 17
7. A theater has a seating capacity of 900 and charges $4 for children, $6 for students,
and $8 for adults. At a certain screening with full attendance, there were half as many
adults as children and students combined. The receipts totaled $5600. How many
children attended the theater that day?
8. Determine the solution set for the following system of inequalities graphically.
(x+ y<4
2x + y 56
2.х - у 2 -1
x 2 0, y 20
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